Algebrahard · Past Paper

Solve for x: (x-a)/(b+c) + (x-b)/(c+a) + (x-c)/(a+b) = 3.

Ax = a+b+c
Bx = 0
Cx = abc
Dx = a-b-c

✓ Correct Answer: A — x = a+b+c

Note that each term becomes 1 if x=a+b+c. [(a+b+c-a)/(b+c)] = (b+c)/(b+c) = 1. So 1+1+1=3.

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